Second-order absorbing boundary conditions for marching-on-in-order scheme

Author

Shao, Wei ; Wang, Bing-Zhong ; Liu, Xiao-Fei

Author_Institution

Inst. of Appl. Phys., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

16

Issue

5

fYear

2006

fDate

5/1/2006 12:00:00 AM

Firstpage

308

Lastpage

310

Abstract

In this letter, we derive second-order absorbing boundary conditions (ABCs) for a marching-on-in-order scheme, which is a time-domain method with weighted Laugerre polynomials and free of stability constraint. This method does not have to deal with time steps, and may be computationally much more efficient than conventional finite-difference time-domain (FDTD)methods with too many time steps to complete a solution. Starting from the three-dimensional (3-D) case of the marching-on-in-order scheme, we deduce a second-order ABC and apply it to a 3-D microstrip line example. The results show the second-order ABC performs better than the first-order one for guided wave problems.

Keywords

microstrip lines; polynomials; stochastic processes; time-domain analysis; waveguide theory; 3D microstrip line; FDTD methods; finite-difference time-domain; marching-on-in-order scheme; second-order absorbing boundary conditions; stability constraint; time steps; time-domain method; weighted Laugerre polynomials; Boundary conditions; Differential equations; Finite difference methods; Lattices; Magnetic fields; Maxwell equations; Microstrip; Polynomials; Stability; Time domain analysis; Finite-difference time-domain (FDTD) method; Mur´s absorbing boundary conditions (ABCs); time-domain; weighted Laugerre polynomials;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2006.873480

Filename

1626270